Answer:
P(F)=0.50
Step-by-step explanation:
Given : Assume that E and F are independent events.
[tex]P(E)\cdot P(F)=0.70[/tex] and [tex]P(F/E)=0.50[/tex]
To find : Probability of F?
Solution :
When E and F are independents then,
[tex]P(E\cap F)=P(E)\cdot P(F)[/tex]
The conditional probability of independent events is
[tex]P(F/E)=\frac{P(E\cap F)}{P(E)}[/tex]
Substitute,
[tex]P(F/E)=\frac{P(E)\cdot P(F)}{P(E)}[/tex]
[tex]P(F/E)=P(F)[/tex]
Which means [tex]P(F/E)=0.50=P(F)[/tex]
Therefore, Probability of F is P(F)=0.50.
